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Finding the Third Proportional to 69,782 and 155,062

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Solution

The third proportional to 69,782 and 155,062 is: 344,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782 : 155,062 = 155,062 : x
  2. Step 2: Convert to fraction form
    69,782/155,062 = 155,062/x
  3. Step 3: Cross multiply
    69,782x = 155,062 × 155,062
  4. Step 4: Simplify right side
    69,782x = 24,044,223,844
  5. Step 5: Solve for x
    x = 24,044,223,844/69,782
  6. Step 6: Final answer
    x = 344,561.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.